• 제목/요약/키워드: Fourier acceleration spectra

검색결과 15건 처리시간 0.021초

Applications of Hilbert-Huang transform to structural damage detection

  • Chiou, Dung-Jiang;Hsu, Wen-Ko;Chen, Cheng-Wu;Hsieh, Chih-Min;Tang, Jhy-Pyng;Chiang, Wei-Ling
    • Structural Engineering and Mechanics
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    • 제39권1호
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    • pp.1-20
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    • 2011
  • This study investigates the feasibility of detecting structural damage using the HHT method. A damage detection index, the ratio of bandwidth (RB) is proposed. This index is highly correlated or approximately equal to the change of equivalent damping ratio for an intact structure incurring damage from strong ground motions. Based on an analysis of shaking table test data from benchmark models subjected to adjusted Kobe and El Centro earthquakes, the damage detection index is evaluated using the Hilbert-Huang Transform (HHT) and the Fast Fourier Transform (FFT) methods, respectively. Results indicate that, when the response of the structure is in the elastic region, the RB value only slightly changes in both the HHT and the FFT spectra. Additionally, RB values estimated from the HHT spectra vs. the PGA values change incrementally when the structure response is nonlinear i.e., member yielding occurs, but not in the RB curve from the FFT spectra. Moreover, the RB value of the top floor changes more than those from the other floors. Furthermore, structural damage is detected only when using the acceleration response data from the top floor. Therefore, the ratio of bandwidth RB estimated from the smoothed HHT spectra is an effective and sensitive damage index for detecting structural damage. Results of this study also demonstrate that the HHT is a powerful method in analyzing the nonlinear responses of steel structures to strong ground motions.

A case study of damage detection in four-bays steel structures using the HHT approach

  • Hsu, Wen-Ko;Chiou, Dung-Jiang;Chen, Cheng-Wu;Liu, Ming-Yi;Chiang, Wei-Ling;Huang, Pei-Chiung
    • Smart Structures and Systems
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    • 제14권4호
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    • pp.595-615
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    • 2014
  • This study aims to investigate the relationship between structural damage and sensitivity indices using the Hilbert-Huang transform (HHT) method. Two damage detection indices are proposed: the ratio of bandwidth (RB), and the ratio of effective stiffness (RES). The nonlinear four bays multiple degree of freedom models with various predominant frequencies are constructed using the SAP2000 program. Adjusted PGA earthquake data (Japan 311, Chi-Chi 921) are used as the excitations. Next the damage detection indices obtained using the HHT and the fast Fourier transform (FFT) methods are evaluated based on the acceleration responses of the structures to earthquakes. Simulation results indicate that, the column of the 1 st floor is the first yielding position and the RB value is changed when the RES<90% in all cases. Moreover, the RB value of the 1 st floor changes more sensitive than those from the top floor. In addition, when the structural response is nonlinear (i.e., RES<100%), the RB and the RES curves indicate the incremental change in the HHT spectra. However, the same phenomenon can be found from FFT spectra only when the stiffness reduction is large enough. Therefore, the RB estimated from the smoothed HHT spectra is an effective and sensitive index for detecting structural damage.

2016년 9월 12일 M5.8 경주지진의 데미지 포텐셜 분석 및 내진공학 측면의 시사점 (Damage Potential Analysis and Earthquake Engineering-related Implications of Sep.12, 2016 M5.8 Gyeongju Earthquake)

  • 이철호;박지훈;김태진;김성용;김동관
    • 한국지진공학회논문집
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    • 제20권7_spc호
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    • pp.527-536
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    • 2016
  • This paper investigates seismic damage potential of recent September 12 M5.8 Gyeongju earthquake from diverse earthquake engineering perspectives using the accelerograms recorded at three stations near the epicenter. In time domain, strong motion durations are evaluated based on the accelerograms and compared with statistical averages of the ground motions with similar magnitude, epicentral distance and soil conditions, while Fourier analysis using FFT is performed to identify damaging frequency contents contained in the earthquake. Effective peak ground accelerations are evaluated from the calculated response spectra and compared with apparent peak ground accelerations and the design spectrum in KBC 2016. All these results are used to consistently explain the reason why most of seismic damage in the earthquake was concentrated on low-rise stiff buildings but not quite significant. In order to comparatively appraise the damage potential, the constant ductility spectrum constructed from the Gyeongju earthquake is compared with that of the well-known 1940 El Centro earthquake. Deconvolution analysis by using one accelerogram speculated to be recorded at a stiff soil site is also performed to estimate the soil profile conforming to the response spectrum characteristics. Finally, response history analysis for 39- and 61-story tall buildings is performed as a case study to explain significant building vibration felt on the upper floors of some tall buildings in Busan area during the Gyeongju earthquake. Seismic design and retrofit implications of M5.8 Gyeongju earthquake are summarized for further research efforts and improvements of relevant practice.

Experimental study on models of cylindrical steel tanks under mining tremors and moderate earthquakes

  • Burkacki, Daniel;Jankowski, Robert
    • Earthquakes and Structures
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    • 제17권2호
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    • pp.175-189
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    • 2019
  • The aim of the study is to show the results of complex shaking table experimental investigation focused on the response of two models of cylindrical steel tanks under mining tremors and moderate earthquakes, including the aspects of diagnosis of structural damage. Firstly, the impact and the sweep-sine tests have been carried out, so as to determine the dynamic properties of models filled with different levels of liquid. Then, the models have been subjected to seismic and paraseismic excitations. Finally, one fully filled structure has been tested after introducing two different types of damages, so as to verify the method of damage diagnosis. The results of the impact and the sweep-sine tests show that filling the models with liquid leads to substantial reduction in natural frequencies, due to gradually increasing overall mass. Moreover, the results of sweep-sine tests clearly indicate that the increase in the liquid level results in significant increase in the damping structural ratio, which is the effect of damping properties of liquid due to its sloshing. The results of seismic and paraseismic tests indicate that filling the tank with liquid leads initially to considerable reduction in values of acceleration (damping effect of liquid sloshing); however, beyond a certain level of water filling, this regularity is inverted and acceleration values increase (effect of increasing total mass of the structure). Moreover, comparison of the responses under mining tremors and moderate earthquakes indicate that the power amplification factor of the mining tremors may be larger than the seismic power amplification factor. Finally, the results of damage diagnosis of fully filled steel tank model indicate that the forms of the Fourier spectra, together with the frequency and power spectral density values, can be directly related to the specific type of structural damage. They show a decrease in the natural frequencies for the model with unscrewed support bolts (global type of damage), while cutting the welds (local type of damage) has resulted in significant increase in values of the power spectral density for higher vibration modes.

지진동모델 파라미터 동시역산을 이용한 지진관측소 분류 (Classification of Seismic Stations Based on the Simultaneous Inversion Result of the Ground-motion Model Parameters)

  • 연관희;서정희
    • 지구물리와물리탐사
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    • 제10권3호
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    • pp.183-190
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    • 2007
  • 지진기록의 수평성분 S파 푸리에스펙트럼을 이용한 추계학적 지진동모델(stochastic point-source ground-motion model; Boore, 2003) 파라미터 역산결과를 기반으로 지진공학적으로 활용될 수 있는 지진관측소 분류를 시도하였다. 추계학적 지진동모델에서 부지효과는 고주파감쇠상수인 $K_0$ (Anderson and Hough, 1984)와 지층의 탄성임피던스의 차이에 의해 발생하는 부지증폭함수(A(f))의 조합으로 표현된다. 본 연구에서는 A(f)를 지진파 스펙트럼의 수평/수직성분비(H/V)와, 이를 초기값으로 하여 얻어진 역산결과에 의한 관측소별 로그오차평균을 합산하여 계산하였다. 지진관측소는 $1{\sim}10$ Hz 범위의 부지증폭함수의 상용로그 최대값($logA_{1-10}^{max}$(f))에 의해 다섯 등급(A: $logA_{1-10}^{max}$(f) < 0.2, B: 0.2 $\leq$ $logA_{1-10}^{max}$(f) < 0.4, C: 0.4 $\leq$ $logA_{1-10}^{max}$(f) < 0.6, D: 0.6 $\leq$ log < 0.8, E: 0.8 $\leq$ $logA_{1-10}^{max}$(f))으로 분류하였다. 분류된 진관측소의 평균적인 부지증폭함수는 A에서 E 등급으로 변함에 따라 지반의 고유진동수가 저주파로 이동하는 의미 있는 결과를 나타내었으며, 최근에 설치장소를 이전한 기상청 일부 관측소에 대해 이설 전후의 등급변화 및 최근 발생한 중규모 지진관측자료와 지진동 거리감쇠식과의 비교분석을 통해 관측소 분류결과의 타당성을 입증할 수 있었다.